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10130113301 = 711709185557
BaseRepresentation
bin10010110111100110…
…10100001100010101
3222010222121002000112
421123303110030111
5131221302111201
64353111252405
7506014354010
oct113363241425
928128532015
1010130113301
114329204070
121b6867a105
13c559456a9
146c1552377
153e45100bb
hex25bcd4315

10130113301 has 16 divisors (see below), whose sum is σ = 12647633280. Its totient is φ = 7882418880.

The previous prime is 10130113277. The next prime is 10130113303. The reversal of 10130113301 is 10331103101.

It is a happy number.

10130113301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10130113301 - 210 = 10130112277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130113303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38186 + ... + 147371.

It is an arithmetic number, because the mean of its divisors is an integer number (790477080).

Almost surely, 210130113301 is an apocalyptic number.

10130113301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10130113301 is a deficient number, since it is larger than the sum of its proper divisors (2517519979).

10130113301 is a wasteful number, since it uses less digits than its factorization.

10130113301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186284.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 10130113301 its reverse (10331103101), we get a palindrome (20461216402).

The spelling of 10130113301 in words is "ten billion, one hundred thirty million, one hundred thirteen thousand, three hundred one".

Divisors: 1 7 11 77 709 4963 7799 54593 185557 1298899 2041127 14287889 131559913 920919391 1447159043 10130113301